In this excerpt from my conversation with Jonathan Gorard, he proposes that particles in Wolfram Physics might be persistent topological obstructions in the hypergraph.

He starts with a toy model in which elementary particles are non-planar tangles moving and interacting in an otherwise planar hypergraph.

But he doesn’t stop there.

He explains that there’s an infinite variety of hypergraphs that give rise to such persistent topological obstructions.

These localized tangles behave in ways that look a lot like particle physics.

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Jonathan Gorard

• Jonathan Gorard at The Wolfram Physics Project
• Jonathan Gorard at Cardiff University
• Jonathan Gorard on Twitter

• The Centre for Applied Compositionality
• The Wolfram Physics Project

Concepts mentioned by Jonathan

• Utility graph
• Kuratowski’s theorem
• Wagner’s theorem
• Complete graphs
• Complete bipartite graphs
• Robertson-Seymour Theorem
• Graph minor
• Forbidden minor characterization

Image:

• Feynman diagram Feynmann Diagram Gluon Radiation by Joel Holdsworth, public domain

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The Last Theory is hosted by Mark Jeffery, founder of Open Web Mind